Question

Using the slope​ formula, find the slope of the line through the points (0,0) and (5,10). Use pencil and paper. Explain how you can use mental math to find the slope of the line.

Answer 1

The slope formula given two points is (y2-y1)/(x2-x1). Your first point is (0,0) and your second point is (5,10) so we can plug in those numbers to the slope formula and get (10-0)/(5-0) to find that the slope is 10/5 or 2. Now, to figure this out mentally, you have to understand that all slope is, is rise over run. Starting from (0,0), you can find the slope from any point by just doing y/x. One of your given points on the line is (0,0), so you know that for the second point, all you have to do is the x divided by the y